Photon deflection and precession of the periastron in terms of spatial gravitational fields

TL;DR

This paper demonstrates that a Maxwell-like framework for spatial gravitational fields accurately predicts photon deflection and periastron precession, providing a novel approach to gravitational phenomena.

Contribution

It introduces a modified Maxwell-like system for gravitational fields that correctly models photon deflection and orbital precession.

Findings

Accurately predicts photon deflection angle.

Correctly models precession of the periastron.

Validates the Maxwell-like gravitational field equations.

Abstract

We show that a Maxwell-like system of equations for spatial gravitational fields $\bf g$ and $\bf B$ (latter being the analogy of a magnetic field), modified to include an extra term for the $\bf B$ field in the expression for force, leads to the correct values for the photon deflection angle and for the precession of the periastron.